Under the background of "carbon peak and carbon neutrality" goals, the power system has formed a "double-high"（high proportion of renewable energy and high proportion power electronic equipment） development trend, resulting in a weak grid characteristic of the power grid. Real-time changes in grid impedance under weak grid lead to stability issues such as resonant frequency offset of photovoltaic （PV） grid-connected inverters, and multiple resonant peaks in inverter clusters. Aiming at the fact that the latest resonance suppression methods for PV grid-connected inverters in weak grid have not been systematically summarized, this article summarizes the hot spot control methods in the field of PV grid-connected inverter resonance suppression in "double-high" power systems from the perspectives of inverter unit resonance suppression methods and inverter cluster resonance suppression methods under weak grid. The development direction of improving the stability of PV grid-connected inverters is pointed out.